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Finding the Fourth Proportional to 203,866.85, 305,776.49 and 54,118.77

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Solution

The fourth proportional to 203,866.85, 305,776.49 and 54,118.77 is: 81,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,866.85 : 305,776.49 = 54,118.77 : x
  2. Step 2: Convert to fraction form
    203,866.85/305,776.49 = 54,118.77/x
  3. Step 3: Cross multiply
    203,866.85x = 305,776.49 × 54,118.77
  4. Step 4: Simplify right side
    203,866.85x = 16,548,247,263.12
  5. Step 5: Solve for x
    x = 16,548,247,263.12/203,866.85
  6. Step 6: Final answer
    x = 81,171.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.